TSTP Solution File: SWV675-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV675-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 18:23:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV675-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 11:25:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 0.19/0.52 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.19/0.52 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.52 #
% 0.19/0.52 # Presaturation interreduction done
% 0.19/0.52 # Number of axioms: 1229 Number of unprocessed: 898
% 0.19/0.52 # Tableaux proof search.
% 0.19/0.52 # APR header successfully linked.
% 0.19/0.52 # Hello from C++
% 0.19/0.53 # The folding up rule is enabled...
% 0.19/0.53 # Local unification is enabled...
% 0.19/0.53 # Any saturation attempts will use folding labels...
% 0.19/0.53 # 898 beginning clauses after preprocessing and clausification
% 0.19/0.53 # Creating start rules for all 3 conjectures.
% 0.19/0.53 # There are 3 start rule candidates:
% 0.19/0.53 # Found 138 unit axioms.
% 0.19/0.53 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.53 # 3 start rule tableaux created.
% 0.19/0.53 # 760 extension rule candidate clauses
% 0.19/0.53 # 138 unit axiom clauses
% 0.19/0.53
% 0.19/0.53 # Requested 8, 32 cores available to the main process.
% 0.19/0.53 # There are not enough tableaux to fork, creating more from the initial 3
% 0.19/0.53 # Returning from population with 37 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.53 # We now have 37 tableaux to operate on
% 0.19/0.53 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.19/0.53 # There were 0 total branch saturation attempts.
% 0.19/0.53 # There were 0 of these attempts blocked.
% 0.19/0.53 # There were 0 deferred branch saturation attempts.
% 0.19/0.53 # There were 0 free duplicated saturations.
% 0.19/0.53 # There were 0 total successful branch saturations.
% 0.19/0.53 # There were 0 successful branch saturations in interreduction.
% 0.19/0.53 # There were 0 successful branch saturations on the branch.
% 0.19/0.53 # There were 0 successful branch saturations after the branch.
% 0.19/0.53 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 # Begin clausification derivation
% 0.19/0.53
% 0.19/0.53 # End clausification derivation
% 0.19/0.53 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.53 cnf(i_0_1390, negated_conjecture, (class_Ring__and__Field_Ofield(t_a))).
% 0.19/0.53 cnf(i_0_1391, negated_conjecture, (c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2260, plain, (class_Ring__and__Field_Oordered__idom(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2214, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.53 cnf(i_0_2424, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.19/0.53 cnf(i_0_2340, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.19/0.53 cnf(i_0_2537, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 0.19/0.53 cnf(i_0_2232, plain, (class_Ring__and__Field_Oidom(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2503, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.53 cnf(i_0_1859, plain, (class_Int_Onumber(tc_nat))).
% 0.19/0.53 cnf(i_0_2406, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.53 cnf(i_0_2506, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.53 cnf(i_0_2502, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.53 cnf(i_0_2618, plain, (class_Orderings_Oorder(tc_nat))).
% 0.19/0.53 cnf(i_0_2215, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2600, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.19/0.53 cnf(i_0_2425, plain, (class_Orderings_Olinorder(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2588, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.19/0.53 cnf(i_0_2549, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.19/0.53 cnf(i_0_2484, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.53 cnf(i_0_2492, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.53 cnf(i_0_2488, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.53 cnf(i_0_2341, plain, (class_Ring__and__Field_Oordered__semidom(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2520, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.19/0.53 cnf(i_0_2430, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2427, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2432, plain, (class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2504, plain, (class_Nat_Osemiring__char__0(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2479, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.53 cnf(i_0_2245, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.53 cnf(i_0_2346, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1662, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2126, plain, (class_Int_Onumber(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2407, plain, (class_Divides_Osemiring__div(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2405, plain, (class_Int_Onumber__ring(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2507, plain, (class_Ring__and__Field_Osemiring__1(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2438, plain, (class_OrderedGroup_Omonoid__mult(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2440, plain, (class_Orderings_Oorder(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2439, plain, (class_Orderings_Opreorder(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2401, plain, (c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1857, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2435, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2428, plain, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2429, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2434, plain, (class_Ring__and__Field_Opordered__ring(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2437, plain, (class_Ring__and__Field_Omult__zero(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2436, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2433, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2402, plain, (c_Fact_Ofact__class_Ofact(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_2426, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2480, plain, (class_Ring__and__Field_Osemiring__0(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2246, plain, (class_Power_Opower(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_2431, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint))).
% 0.19/0.53 cnf(i_0_1625, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1794, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1800, plain, (c_Power_Opower__class_Opower(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1853, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1854, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1668, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1808, plain, (c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1765, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1764, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2349, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1779, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1763, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1788, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 0.19/0.53 cnf(i_0_2364, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1791, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2365, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1781, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1911, plain, (c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1910, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1829, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.19/0.53 cnf(i_0_2404, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2396, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1660, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1569, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1908, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1547, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1546, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2327, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1850, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1845, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat)=X1)).
% 0.19/0.53 cnf(i_0_1844, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat)=X2)).
% 0.19/0.53 cnf(i_0_1812, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2281, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2282, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1816, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat))).
% 0.19/0.53 cnf(i_0_1822, plain, (c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_2320, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1820, plain, (c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))=c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_1704, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1703, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2395, plain, (c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)=c_Fact_Ofact__class_Ofact(c_Suc(X1),tc_nat))).
% 0.19/0.53 cnf(i_0_2297, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_Divides_Odiv__class_Omod(X2,X1,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2358, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2157, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2156, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1551, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1841, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1851, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,c_Suc(X3),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2275, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1918, plain, (c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1693, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2353, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1839, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1838, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1709, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2173, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2166, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1986, plain, (c_GCD_Ogcd__class_Ogcd(c_Power_Opower__class_Opower(X1,X2,tc_nat),c_Power_Opower__class_Opower(X3,X2,tc_nat),tc_nat)=c_Power_Opower__class_Opower(c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1843, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1842, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2348, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1694, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2309, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1695, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2308, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1715, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat))).
% 0.19/0.53 cnf(i_0_1708, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2356, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1726, plain, (c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1681, plain, (c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1682, plain, (c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2352, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1710, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1459, plain, (c_HOL_Ozero__class_Ozero(t_a)!=v_a)).
% 0.19/0.53 cnf(i_0_1848, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1927, plain, (c_Suc(X1)!=X1)).
% 0.19/0.53 cnf(i_0_1761, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1734, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2400, plain, (c_Fact_Ofact__class_Ofact(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1392, negated_conjecture, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_Suc(v_y),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),t_a)!=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ozero__class_Ozero(tc_nat),t_a))).
% 0.19/0.53 cnf(i_0_1769, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1623, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1916, plain, (~c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat)),tc_nat))).
% 0.19/0.53 cnf(i_0_1751, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1752, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2489, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.19/0.53 cnf(i_0_2412, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.53 cnf(i_0_2602, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.53 cnf(i_0_2590, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.53 cnf(i_0_1457, plain, (class_Ring__and__Field_Oidom(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_1455, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_1456, plain, (class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2505, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2501, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2587, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2483, plain, (class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2491, plain, (class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_1646, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2487, plain, (class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2478, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_1458, plain, (class_Power_Opower(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_2183, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2188, plain, (~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_1920, plain, (~c_Parity_Oeven__odd__class_Oeven(c_Suc(X1),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1923, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.19/0.53 cnf(i_0_2393, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X1,tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Nat_Osemiring__char__0(X2))).
% 0.19/0.53 cnf(i_0_2330, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2372, plain, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2191, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2613, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.19/0.53 cnf(i_0_2598, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.19/0.53 cnf(i_0_2413, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.53 cnf(i_0_2422, plain, (~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X1,X3))).
% 0.19/0.53 cnf(i_0_1792, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 0.19/0.53 cnf(i_0_2394, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.53 cnf(i_0_2603, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.53 cnf(i_0_2591, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.53 cnf(i_0_1785, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 0.19/0.53 cnf(i_0_2374, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.19/0.53 cnf(i_0_2597, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.53 cnf(i_0_2446, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1664, plain, (~c_lessequals(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1905, plain, (c_Divides_Odiv__class_Omod(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2178, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.53 cnf(i_0_2376, plain, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1))).
% 0.19/0.53 cnf(i_0_1824, plain, (~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1631, plain, (~c_lessequals(c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2359, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2115, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.19/0.53 cnf(i_0_1762, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2211, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2177, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.53 cnf(i_0_2317, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.19/0.53 cnf(i_0_2388, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.19/0.53 cnf(i_0_1452, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_1775, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2360, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1774, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2099, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.53 cnf(i_0_1921, plain, (c_Parity_Oeven__odd__class_Oeven(c_Suc(X1),tc_nat)|c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2606, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_2595, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_2006, plain, (~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2373, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oabs__class_Oabs(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_1435, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.53 cnf(i_0_1640, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1622, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1846, plain, (c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1795, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_2109, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2377, plain, (c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_2181, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2493, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))).
% 0.19/0.53 cnf(i_0_1796, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1629, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_1906, plain, (c_Divides_Odiv__class_Omod(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1810, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(X1,X2,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.53 cnf(i_0_1440, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.19/0.53 cnf(i_0_2342, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2168, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2585, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.19/0.53 cnf(i_0_2318, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.53 cnf(i_0_2180, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.53 cnf(i_0_1776, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=X2)).
% 0.19/0.53 cnf(i_0_1639, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1907, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Divides_Odiv__class_Omod(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1621, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2026, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2494, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.53 cnf(i_0_2167, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.53 cnf(i_0_2189, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.19/0.53 cnf(i_0_1790, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))).
% 0.19/0.53 cnf(i_0_1616, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Power_Opower__class_Opower(X1,X2,tc_nat),tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1628, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1614, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1442, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.53 cnf(i_0_2586, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.53 cnf(i_0_2212, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.53 cnf(i_0_2231, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.53 cnf(i_0_2615, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_1615, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1544, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2113, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2185, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_2187, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_2563, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.53 cnf(i_0_1530, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1526, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2119, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2230, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_2369, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.53 cnf(i_0_2380, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.53 cnf(i_0_2274, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_Divides_Odiv__class_Omod(X2,X1,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_1990, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_Power_Opower__class_Opower(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1531, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_1773, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1527, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2118, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.53 cnf(i_0_1533, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_1736, plain, (~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2209, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2481, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2))).
% 0.19/0.53 cnf(i_0_1433, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.53 cnf(i_0_1985, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1806, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2370, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_2208, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.53 cnf(i_0_2184, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.19/0.53 cnf(i_0_2482, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.53 cnf(i_0_2498, plain, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.53 cnf(i_0_2319, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 0.19/0.53 cnf(i_0_1663, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1802, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1803, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2249, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2244, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Ring__and__Field_Omult__zero(X2))).
% 0.19/0.53 cnf(i_0_1827, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2204, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2205, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_1904, plain, (c_Divides_Odiv__class_Omod(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1807, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X2=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2117, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=X3|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oinverse__class_Oinverse(X3,X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2255, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2251, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2253, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2378, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2564, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.53 cnf(i_0_1647, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat)=c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1641, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1446, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.53 cnf(i_0_1403, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.53 cnf(i_0_2291, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2292, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2296, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=X1|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2127, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1834, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_1645, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2259, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_HOL_Oabs__class_Oabs(X1,X3)!=c_HOL_Oabs__class_Oabs(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2228, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_1672, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1566, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1565, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1852, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_2229, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_1642, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 0.19/0.53 cnf(i_0_1814, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1630, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2382, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.19/0.53 cnf(i_0_2336, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_2379, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2293, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 0.19/0.53 cnf(i_0_1717, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1716, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2198, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2197, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2273, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.19/0.53 cnf(i_0_2219, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))).
% 0.19/0.53 cnf(i_0_1727, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1828, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1537, plain, (c_lessequals(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1669, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2240, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.19/0.53 cnf(i_0_1700, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1699, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2420, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.53 cnf(i_0_1690, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1833, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2243, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.19/0.53 cnf(i_0_2423, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.53 cnf(i_0_2057, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1590, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2601, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2604, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.53 cnf(i_0_2605, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2589, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2381, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.19/0.53 cnf(i_0_1553, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1823, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2594, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.53 cnf(i_0_2593, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2190, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2614, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_1813, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2047, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.53 cnf(i_0_1909, plain, (c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))!=X2)).
% 0.19/0.53 cnf(i_0_1617, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2086, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.53 cnf(i_0_2599, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2067, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2256, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2254, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2366, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2367, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1586, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2343, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2100, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.53 cnf(i_0_2552, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2555, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1620, plain, (c_Int_Onumber__class_Onumber__of(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(c_Power_Opower__class_Opower(X2,c_Int_Onumber__class_Onumber__of(X1,tc_nat),X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2414, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.53 cnf(i_0_2344, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2140, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2139, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2078, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_1434, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_2607, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_2469, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.53 cnf(i_0_2079, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2176, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))).
% 0.19/0.53 cnf(i_0_2350, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2351, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1626, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2063, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1425, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.53 cnf(i_0_2206, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2160, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2584, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.53 cnf(i_0_2322, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_1564, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1563, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2241, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.53 cnf(i_0_2321, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2331, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.19/0.53 cnf(i_0_2338, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3))).
% 0.19/0.53 cnf(i_0_2261, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2329, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X2,tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_1983, plain, (c_Parity_Oeven__odd__class_Oeven(c_Power_Opower__class_Opower(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1585, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2326, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2403, plain, (c_lessequals(c_Fact_Ofact__class_Ofact(X1,tc_nat),c_Fact_Ofact__class_Ofact(X2,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2371, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_1758, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2262, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1818, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.19/0.53 cnf(i_0_1847, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1826, plain, (X1=X2|c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat)!=c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1414, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.53 cnf(i_0_1733, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1686, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2195, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4))).
% 0.19/0.53 cnf(i_0_1692, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 cnf(i_0_1712, plain, (X1=X2|c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1656, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1657, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1676, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2196, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.19/0.53 cnf(i_0_2510, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.53 cnf(i_0_2512, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_2517, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.53 cnf(i_0_2039, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.53 cnf(i_0_1587, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2333, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2))).
% 0.19/0.53 cnf(i_0_2345, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1413, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_2515, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_1991, plain, (X1=X2|c_Power_Opower__class_Opower(X3,X1,X4)!=c_Power_Opower__class_Opower(X3,X2,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X3,X4))).
% 0.19/0.53 cnf(i_0_2011, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2128, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2064, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2066, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2065, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2485, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 0.19/0.53 cnf(i_0_1448, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_2560, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2567, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2561, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2565, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1836, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1619, plain, (c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_Suc(X2),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1618, plain, (c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3,tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1561, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2269, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2299, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2035, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.53 cnf(i_0_1525, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2390, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)=c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.53 cnf(i_0_2298, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3)=c_Divides_Odiv__class_Omod(X2,X1,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2311, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2038, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~c_lessequals(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2132, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.53 cnf(i_0_2001, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2),X2))).
% 0.19/0.53 cnf(i_0_1832, plain, (c_Suc(X1)=X2|c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1711, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2544, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2022, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2131, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.53 cnf(i_0_2242, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Ring__and__Field_Omult__zero(X2))).
% 0.19/0.53 cnf(i_0_2596, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.53 cnf(i_0_2075, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X2,tc_nat),X1),X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.53 cnf(i_0_2148, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2248, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2062, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2135, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1))).
% 0.19/0.53 cnf(i_0_2083, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2094, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2068, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 0.19/0.53 cnf(i_0_1580, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1766, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1415, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.19/0.53 cnf(i_0_2096, plain, (c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 0.19/0.53 cnf(i_0_2092, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2121, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2081, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1768, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1593, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1592, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2408, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.53 cnf(i_0_2080, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2072, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2112, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2019, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2179, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_1658, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2310, plain, (c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2556, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_2069, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(X2,tc_nat),X1),X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.53 cnf(i_0_2236, plain, (c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(X2,tc_nat),X3)!=c_HOL_Ozero__class_Ozero(X3)|c_Int_Onumber__class_Onumber__of(X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X3)|~class_Ring__and__Field_Ono__zero__divisors(X3)|~class_Ring__and__Field_Ozero__neq__one(X3)|~class_Ring__and__Field_Omult__zero(X3))).
% 0.19/0.53 cnf(i_0_2553, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.19/0.53 cnf(i_0_2557, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 0.19/0.53 cnf(i_0_1685, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1638, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.53 cnf(i_0_2053, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_1536, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1754, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2551, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_1988, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_Power_Opower__class_Opower(X1,X3,X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_1684, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1815, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1714, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1713, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2334, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1406, plain, (c_Int_Onumber__class_Onumber__of(X1,X2)=c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)|c_Int_Onumber__class_Onumber__of(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Int_Onumber(X2))).
% 0.19/0.53 cnf(i_0_2332, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2339, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~c_lessequals(X1,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2))).
% 0.19/0.53 cnf(i_0_2090, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2105, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1732, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1683, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1534, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1721, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X1,tc_nat),c_Power_Opower__class_Opower(X3,X1,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2263, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2088, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2103, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2264, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1535, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1654, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2111, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2120, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2233, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|c_Int_Onumber__class_Onumber__of(X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.19/0.53 cnf(i_0_2021, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2252, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2114, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.53 cnf(i_0_2012, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2496, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.53 cnf(i_0_1753, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1784, plain, (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2059, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2060, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2055, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2562, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2566, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2025, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.53 cnf(i_0_2129, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2137, plain, (c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_Parity_Oeven__odd__class_Oeven(X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2050, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2347, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__mult(X1)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.53 cnf(i_0_1747, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X1,tc_nat),c_Power_Opower__class_Opower(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1405, plain, (c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3)=c_HOL_Ozero__class_Ozero(X3)|c_Int_Onumber__class_Onumber__of(X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Int_Onumber(X3))).
% 0.19/0.53 cnf(i_0_2559, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2568, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2149, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.19/0.53 cnf(i_0_2270, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)|~class_Divides_Osemiring__div(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.19/0.53 cnf(i_0_1541, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1543, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1688, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2174, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2175, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2391, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(X1,X2,tc_nat),X3)=c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X2,X3)|~class_Ring__and__Field_Osemiring__1(X3))).
% 0.19/0.53 cnf(i_0_1666, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1756, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1661, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1912, plain, (c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2073, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2102, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_1840, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2000, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,c_Int_Onumber__class_Onumber__of(X3,tc_nat),X1),X1)|c_Int_Onumber__class_Onumber__of(X3,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.53 cnf(i_0_2257, plain, (c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2)=c_Int_Onumber__class_Onumber__of(X1,X2)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2235, plain, (c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Power_Opower(X3))).
% 0.19/0.53 cnf(i_0_2070, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2))).
% 0.19/0.53 cnf(i_0_2095, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2))).
% 0.19/0.53 cnf(i_0_2201, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2499, plain, (c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.53 cnf(i_0_1606, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_1604, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1659, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2040, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_Power_Opower__class_Opower(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_1407, plain, (c_Int_Onumber__class_Onumber__of(X1,X2)=c_HOL_Ozero__class_Ozero(X2)|c_Int_Onumber__class_Onumber__of(X1,X2)!=c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Int_Onumber(X2))).
% 0.19/0.53 cnf(i_0_2151, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2497, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.53 cnf(i_0_1915, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2043, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_1671, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2110, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.19/0.53 cnf(i_0_2583, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.53 cnf(i_0_1969, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_1963, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1584, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1583, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1556, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1426, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_2385, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.53 cnf(i_0_2290, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(X1,X4,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3))).
% 0.19/0.53 cnf(i_0_2328, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.53 cnf(i_0_2456, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2464, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1919, plain, (c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat)=c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))=X2)).
% 0.19/0.53 cnf(i_0_1557, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1560, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1562, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2037, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_2454, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2533, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 0.19/0.53 cnf(i_0_2532, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_1831, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1595, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2003, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)|~c_Parity_Oeven__odd__class_Oeven(X3,tc_nat)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2216, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_2462, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2536, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2535, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2061, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__idom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X4),X4),X3,X4))).
% 0.19/0.53 cnf(i_0_2217, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.53 cnf(i_0_1722, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X1,tc_nat),c_Power_Opower__class_Opower(X3,X1,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2546, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.19/0.53 cnf(i_0_2545, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.53 cnf(i_0_2084, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2056, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2247, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.53 cnf(i_0_2513, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2511, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.53 cnf(i_0_1748, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2399, plain, (c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X1,tc_nat),c_Fact_Ofact__class_Ofact(X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2087, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 0.19/0.53 cnf(i_0_2223, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.53 cnf(i_0_2222, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.53 cnf(i_0_2023, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2514, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2046, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2),X2))).
% 0.19/0.53 cnf(i_0_1393, plain, (X1=c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X4,X3)!=c_Int_Onumber__class_Onumber__of(X2,X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Int_Onumber(X3))).
% 0.19/0.53 cnf(i_0_2516, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.53 cnf(i_0_2522, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.53 cnf(i_0_2521, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.53 cnf(i_0_1993, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2027, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~c_lessequals(X2,X4,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_1450, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1605, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1607, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2392, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.53 cnf(i_0_2008, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Power_Opower__class_Opower(X3,X1,X4),c_Power_Opower__class_Opower(X3,X2,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X3,X4))).
% 0.19/0.53 cnf(i_0_2389, plain, (c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.53 cnf(i_0_1441, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.53 cnf(i_0_1725, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X4,X2,tc_nat)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1539, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1538, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1437, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_1917, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2258, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2550, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 0.19/0.53 cnf(i_0_2509, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.53 cnf(i_0_1438, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1738, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2276, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1972, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.53 cnf(i_0_2316, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(X1,X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.53 cnf(i_0_2508, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(X1,X3,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4))).
% 0.19/0.53 cnf(i_0_2518, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.53 cnf(i_0_2519, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.53 cnf(i_0_2315, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.53 cnf(i_0_1976, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.53 cnf(i_0_2227, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_2226, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_2029, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)|~c_lessequals(X2,X5,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X5,X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2091, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 0.19/0.53 cnf(i_0_2162, plain, (c_HOL_Oplus__class_Oplus(X1,X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.53 cnf(i_0_2398, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),tc_nat)=c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.19/0.53 cnf(i_0_2106, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2104, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.19/0.53 cnf(i_0_2172, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.53 cnf(i_0_2089, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 0.19/0.53 cnf(i_0_2443, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))).
% 0.19/0.53 cnf(i_0_2445, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_1922, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X4),X3),c_Power_Opower__class_Opower(X2,c_Suc(X4),X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3))).
% 0.19/0.53 cnf(i_0_2495, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.53 cnf(i_0_1612, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1611, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.53 cnf(i_0_1608, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1609, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2085, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_1978, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_1892, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))).
% 0.19/0.53 cnf(i_0_1473, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))).
% 0.19/0.53 cnf(i_0_1893, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_1472, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_1432, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.19/0.53 cnf(i_0_1837, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2471, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2576, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2020, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_1925, plain, (X1=X2|c_Power_Opower__class_Opower(X1,c_Suc(X3),X4)!=c_Power_Opower__class_Opower(X2,c_Suc(X3),X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4)|~class_Ring__and__Field_Oordered__semidom(X4))).
% 0.19/0.53 cnf(i_0_1962, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1968, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1975, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2171, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.53 cnf(i_0_2470, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2575, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2547, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1755, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2441, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1882, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2523, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2539, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1757, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2548, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2476, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_2477, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_1552, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2071, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2))).
% 0.19/0.53 cnf(i_0_1724, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2541, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.53 cnf(i_0_2540, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1883, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2186, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1550, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2467, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_2473, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_2474, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2101, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1))).
% 0.19/0.53 cnf(i_0_2538, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2542, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2543, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2525, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_2202, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.53 cnf(i_0_2475, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2472, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_2468, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2465, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2154, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.53 cnf(i_0_2524, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_1899, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_1898, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2582, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.53 cnf(i_0_2466, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1782, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1783, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2199, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2076, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2074, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1987, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2213, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2153, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2051, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_lessequals(c_Power_Opower__class_Opower(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_1977, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2134, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2133, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2324, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_1632, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1633, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1649, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_1648, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2325, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2028, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X5,X3),X3)|~c_lessequals(X2,X5,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_1897, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))).
% 0.19/0.53 cnf(i_0_1449, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_2004, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.19/0.53 cnf(i_0_2005, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1719, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1419, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2)=c_Int_Onumber__class_Onumber__of(X1,X2)|c_Int_Onumber__class_Onumber__of(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Int_Onumber(X2))).
% 0.19/0.53 cnf(i_0_1445, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1468, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))).
% 0.19/0.53 cnf(i_0_1895, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_1635, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_1652, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_1651, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1650, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1470, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.53 cnf(i_0_2306, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.53 cnf(i_0_2304, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.53 cnf(i_0_1653, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_1634, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1637, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1636, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_2307, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2305, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2387, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_1689, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_2024, plain, (c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_lessequals(c_Power_Opower__class_Opower(X2,X1,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)|~c_lessequals(X2,X4,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2048, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~c_lessequals(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_lessequals(X2,X4,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3))).
% 0.19/0.53 cnf(i_0_2164, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2460, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))).
% 0.19/0.53 cnf(i_0_2458, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))).
% 0.19/0.53 cnf(i_0_2457, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_2459, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2163, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_2054, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Oordered__semidom(X3))).
% 0.19/0.53 cnf(i_0_1999, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(X3,X1,X2),X2))).
% 0.19/0.53 cnf(i_0_2049, plain, (X1=X2|c_Power_Opower__class_Opower(X1,X3,X4)!=c_Power_Opower__class_Opower(X2,X3,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2218, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.53 cnf(i_0_2010, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~c_lessequals(X2,X4,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_2170, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.53 cnf(i_0_2447, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))).
% 0.19/0.53 cnf(i_0_1743, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_1741, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2450, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.53 cnf(i_0_1887, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))).
% 0.19/0.53 cnf(i_0_2375, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_1451, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_nat),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~c_lessequals(X4,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1643, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))).
% 0.19/0.53 cnf(i_0_1429, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_2383, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.53 cnf(i_0_2574, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))).
% 0.19/0.53 cnf(i_0_2463, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_2573, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))).
% 0.19/0.53 cnf(i_0_2448, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2368, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.53 cnf(i_0_1644, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_1737, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.53 cnf(i_0_2500, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(c_Suc(X2),X3,tc_nat),X4)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4),X1,X4)|~class_OrderedGroup_Omonoid__mult(X4)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1465, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_1430, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1401, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_2527, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2451, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.53 cnf(i_0_2528, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.53 cnf(i_0_1400, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_1464, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_1903, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_HOL_Oone__class_Oone(X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_2158, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.53 cnf(i_0_1886, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2461, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_1994, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat))).
% 0.19/0.53 cnf(i_0_2159, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.53 cnf(i_0_2016, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X4,X3),X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.53 cnf(i_0_2052, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3))).
% 0.19/0.53 cnf(i_0_1872, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.53 cnf(i_0_1875, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_2444, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2442, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 0.19/0.53 cnf(i_0_1876, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1877, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_2386, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.53 cnf(i_0_1874, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 0.19/0.53 cnf(i_0_1873, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1870, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1871, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.53 cnf(i_0_1436, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.53 cnf(i_0_1980, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_2058, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3))).
% 0.19/0.53 cnf(i_0_2224, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 0.19/0.53 cnf(i_0_2312, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_1577, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1881, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_2303, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_1989, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_2015, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_1931, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_1930, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.53 cnf(i_0_1417, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ofield(X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.19/0.53 cnf(i_0_1418, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ofield(X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.19/0.53 cnf(i_0_1466, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_1461, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1601, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_2194, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_1889, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1888, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1475, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1602, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_2150, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.53 cnf(i_0_1463, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1600, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2))).
% 0.19/0.53 cnf(i_0_1597, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1))).
% 0.19/0.53 cnf(i_0_1728, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1879, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_1891, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1474, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1890, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_1599, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_1579, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat),X3,tc_nat),X4,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1613, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3))).
% 0.19/0.53 cnf(i_0_1486, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1598, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2107, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_1982, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.53 cnf(i_0_1424, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1484, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_1485, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1483, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_1460, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1880, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1))).
% 0.19/0.53 cnf(i_0_1462, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X4,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat))).
% 0.19/0.53 cnf(i_0_2165, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=c_Divides_Odiv__class_Omod(X3,X2,tc_nat)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X5,tc_nat),tc_nat))).
% 0.19/0.53 cnf(i_0_1493, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1491, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1878, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1))).
% 0.19/0.53 cnf(i_0_2220, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.53 cnf(i_0_1860, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.53 cnf(i_0_1861, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.19/0.53 cnf(i_0_2534, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_1467, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.19/0.53 cnf(i_0_1492, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1490, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1610, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2077, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.53 cnf(i_0_2531, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_2530, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 0.19/0.53 cnf(i_0_2529, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.53 cnf(i_0_1603, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X5,X2,X3))).
% 0.19/0.53 cnf(i_0_1575, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.53 cnf(i_0_1576, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2130, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X4,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_1862, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1866, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_1443, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1865, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1864, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1863, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 0.19/0.53 cnf(i_0_1869, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1395, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.53 cnf(i_0_1868, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.53 cnf(i_0_1867, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.53 cnf(i_0_2384, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.53 cnf(i_0_2250, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Otimes__class_Otimes(X4,X5,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X2),X5,X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X4,X2))).
% 0.19/0.53 cnf(i_0_2579, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))).
% 0.19/0.53 cnf(i_0_2571, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))).
% 0.19/0.53 cnf(i_0_2569, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))).
% 0.19/0.53 cnf(i_0_2581, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))).
% 0.19/0.53 cnf(i_0_2572, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))).
% 0.19/0.53 cnf(i_0_2578, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))).
% 0.19/0.53 cnf(i_0_1571, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.53 cnf(i_0_1573, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.53 cnf(i_0_2580, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))).
% 0.19/0.53 cnf(i_0_2570, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))).
% 0.19/0.53 cnf(i_0_2314, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_2313, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.53 cnf(i_0_1570, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.53 cnf(i_0_1572, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.53 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.53 # Begin printing tableau
% 0.19/0.53 # Found 3 steps
% 0.19/0.53 cnf(i_0_1391, negated_conjecture, (c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(start_rule)).
% 0.19/0.53 cnf(i_0_2620, plain, (c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(extension_rule, [i_0_1646])).
% 0.19/0.53 cnf(i_0_5093, plain, (c_Suc(v_y)=c_HOL_Ozero__class_Ozero(tc_nat)), inference(closure_rule, [i_0_1848])).
% 0.19/0.53 # End printing tableau
% 0.19/0.53 # SZS output end
% 0.19/0.53 # Branches closed with saturation will be marked with an "s"
% 0.19/0.53 # Child (16980) has found a proof.
% 0.19/0.53
% 0.19/0.54 # Proof search is over...
% 0.19/0.54 # Freeing feature tree
%------------------------------------------------------------------------------